THESIS
2015
viii, 50 pages : color illustrations ; 30 cm
Abstract
In this thesis, topological phase realization in photonic crystal and cold atomic gases is
discussed. In photonic crystal, we find two pairs of Dirac points can emerge in photonic square
lattice. It is further found that these Dirac points originate from the intrinsic mirror symmetry in
photonic square lattice. In this way, we establish the relationship between the number of Dirac
points and intrinsic mirror symmetry in photonic crystal. When magneto-optical effect is
introduced, we claim the realization of photonic Chern insulator with large Chern number,
manifesting multiple unidirectional edge states. In cold atomic gases, the realization of 3D Weyl
semimetal phase is raised and its corresponding experimental detection scheme is proposed. The
Weyl semimetal phase is interpret...[
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In this thesis, topological phase realization in photonic crystal and cold atomic gases is
discussed. In photonic crystal, we find two pairs of Dirac points can emerge in photonic square
lattice. It is further found that these Dirac points originate from the intrinsic mirror symmetry in
photonic square lattice. In this way, we establish the relationship between the number of Dirac
points and intrinsic mirror symmetry in photonic crystal. When magneto-optical effect is
introduced, we claim the realization of photonic Chern insulator with large Chern number,
manifesting multiple unidirectional edge states. In cold atomic gases, the realization of 3D Weyl
semimetal phase is raised and its corresponding experimental detection scheme is proposed. The
Weyl semimetal phase is interpreted as an intermediate state between normal insulator and
quantum anomalous Hall insulator. The Landau-Zener transition is developed to measure the
signature of the emergence of Weyl points.
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